It is easy to find the LCM of 439 and 445 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 195355 as output. Here you can check the answer for Find the LCM of 439 and 445.
Given Numbers are 439, 445
We can find the LCM of 439, 445 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 439 and 445
Multiples of 439 =439,878,1317,1756,2195,2634,3073,3512,3951,4390,4829,5268,5707,6146,6585,7024,7463,
Multiples of 445 =445,890,1335,1780,2225,2670,3115,3560,4005,4450,4895,5340,5785,6230,6675,7120,7565,
Now, get the least common multiple of 439, 445 which is 195355
So, the LCM of 439, 445 is 195355.
One method for determining the LCM of 439 and 445 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 439's prime factorization:| 439 | 439 |
| 1 |
Prime factors of 439 are 439.
439 = 4391
And this is 445's prime factorization:
| 5 | 445 |
| 89 | 89 |
| 1 |
Prime factors of 445 are 5,89.
445 = 51×891
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered:439, 5,89
.51×891×4391 = 195355
This shows that the LCM of 439 and 445 is 195355.
The first step in determining the Least Common Multiple of 439 and 445 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 439 and 445:
Lets look at the first ten multiples of these numbers, 439 and 445:
439,878,1317,1756,2195,2634,3073,3512,3951,7463 are the first ten multiples of 439.
445,890,1335,1780,2225,2670,3115,3560,4005,7565 are the first ten multiples of 445.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 439 and 445, for example, are 5268, 7463, and 7120. 195355 is the least common multiple since it is the smallest.
439 and 445 have an LCM of 195355.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 439 and 445, than apply into the LCM equation.
GCF(439,445) = 1
LCM(439,445) = ( 439 × 445) / 1
LCM(439,445) = 195355 / 1
LCM(439,445) = 195355
1. What is the LCM of 439 and 445?
The LCM of 439 and 445 is 195355.
2. How to find the lowest common multiple of 439 and 445?
To find the lowest common multiple of 439 and 445, we have to get the multip;es of both numbers and identify the least common multiple in them which is 195355.
3. What are the Factors of 439?
Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.
4. What are the Factors of 445?
Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.
5. How to Find the LCM of 439 and 445?Answer:
Least Common Multiple of 439 and 445 = 195355
Step 1: Find the prime factorization of 439
439 = 439
Step 2: Find the prime factorization of 445
445 = 5 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 195355 = 5 x 89 x 439
Step 4: Therefore, the least common multiple of 439 and 445 is 195355.